Upon which of the following quantities,the value of buoyant force on a body immersed in a fluid , does not depend -

Options

A. density of fluid
B. density of immersed body
C. volume of immersed body
D. acceleration due to gravity .

Answer

To solve the question regarding the buoyant force on a body immersed in a fluid, we need to understand the factors that influence buoyant force.

### Step-by-Step Solution:

1. **Understanding Buoyant Force**:
The buoyant force (FB) acting on a body submerged in a fluid is given by Archimedes' principle. It states that the buoyant force is equal to the weight of the fluid displaced by the body.

2. **Formula for Buoyant Force**:
The formula for buoyant force can be expressed as:
\[ F_B = \rho \cdot V \cdot g \]
where:
- \( F_B \) = buoyant force
- \( \rho \) = density of the fluid
- \( V \) = volume of the fluid displaced (which is equal to the volume of the submerged part of the body)
- \( g \) = acceleration due to gravity

3. **Identifying Dependence**:
From the formula, we can see that the buoyant force depends on:
- The density of the fluid (\( \rho \))
- The volume of the submerged part of the body (\( V \))
- The acceleration due to gravity (\( g \))

4. **Analyzing the Options**:
The question asks which quantity the buoyant force does not depend on. The options typically include:
- Density of the fluid
- Volume of the submerged body
- Acceleration due to gravity
- Density of the immersed body

5. **Conclusion**:
The buoyant force does not depend on the density of the immersed body. It only depends on the density of the fluid, the volume of the submerged part, and the acceleration due to gravity. Therefore, the correct answer is:
- **Density of the immersed body**.

### Final Answer:
The value of buoyant force on a body immersed in a fluid does not depend on the density of the immersed body.

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